Please note that r in the equations is bolded to indicate that it is a vector, therefore dr is equivalent to dr^3
Best,
Tian
]]>1 The two sets of atomic wavefunction files are not necessarily identical, and Hirshfeld weighting function is relatively less sensitive to the computational level for generating the atomic wavefunction files used in this stage. Of course, you can use the same atomic wavefunction files for the two stages, and this way is somewhat more physically sound.
2 The formula is correct. I just updated Section 3.9.1 to add a few equations to better explain the physical meaning, please re-download the manual.
Best,
Tian
]]>The atomic .wfn files provided for the first time are those used to calculate atomic free volumes; if you choose to use Hirshfeld weighting function, you will also be asked to provide atomic .wfn files used to calculate the weighting functions. The two sets of atomic wavefunction files can be the same, but it is not mandatory.
Best,
Tian
]]>The printed unit is correct. Please note that the atomic volume defined in Tkatchenko-Scheffler method is not the volume in common sense, it is just used to partition molecular polarizability.
Best,
Tian
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